Abstract

We study the effects of viscosity differential on buoyancy-induced interpenetration of two immiscible fluids in a tilted channel using a two-phase lattice Boltzmann method implemented on a graphics processing unit. The effects of viscosity differential on the flow structures, average density profiles and front velocities are studied. Relatively stable fingers are observed for high viscosity ratios. The intensity of the interfacial instabilities and the transverse interpenetration of the fluids are seen to increase with decreasing viscosity differential of the fluids.

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